Finite Group Databasebeta

← #25263014

Subgroups — #25263014

Order 11008.

2982 conjugacy classes of subgroups.

The subgroup lattice has 1774 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583407C211yesmaximal, characteristic, complemented
2C2×C4×D4×D43C211yesmaximal, characteristic, complemented
3#19140519C211yesmaximal, characteristic, complemented
4#19140516C211yesmaximal, characteristic, complemented
5#19140486C211yesmaximal, characteristic, complemented
6#19140483C211yesmaximal, characteristic, complemented
7#19140436C211yesmaximal, characteristic, complemented
8#19140434C211yesmaximal, characteristic, complemented
9#19140432C211yesmaximal, characteristic, complemented
10#19140413C211yesmaximal, characteristic, complemented
11#19140405C211yesmaximal, characteristic, complemented
12#19140369C211yesmaximal, characteristic, complemented
13#19140367C211yesmaximal, characteristic, complemented
14#19140342C211yesmaximal, characteristic, complemented
15#19140334C211yesmaximal, characteristic, complemented
16#19140308C211yesmaximal, characteristic, complemented
17#19140306C211yesmaximal, characteristic, complemented
18#19137853C211yesmaximal, characteristic, complemented
19#19137851C211yesmaximal, characteristic, complemented
20#19137840C211yesmaximal, characteristic, complemented
21#19137840C211yesmaximal, characteristic, complemented
22#19137836C211yesmaximal, characteristic, complemented
23#19137834C211yesmaximal, characteristic, complemented
24#19137809C211yesmaximal, characteristic, complemented
25#19137807C211yesmaximal, characteristic, complemented
26#19137122C211yesmaximal, characteristic, complemented
27#19137116C211yesmaximal, characteristic, complemented
28#19137100C211yesmaximal, characteristic, complemented
29#19137096C211yesmaximal, characteristic, complemented
30#19136977C211yesmaximal, characteristic, complemented
31C43×#2630C211yesmaximal, characteristic, complemented
32C22×#10621900C2211yescharacteristic, complemented
33C22×D4×D43C2211yescharacteristic
34C23×C4×D43C2211yescharacteristic
35C23×C4×D43C2211yescharacteristic
36#14583407—28no—
37C2×#13063310C2211yescharacteristic
38C2×#13063308C2211yescharacteristic, complemented
39C2×#13063307C2211yescharacteristic
40C2×#13063303C2211yescharacteristic
41C2×#13063303C2211yescharacteristic, complemented
42C2×#13063298C2211yescharacteristic
43C2×#13063298C2211yescharacteristic, complemented
44C2×#13063295C2211yescharacteristic
45C2×#13063295C2211yescharacteristic
46C2×#13063293C2211yescharacteristic
47C2×#13063293C2211yescharacteristic
48C2×C4×D172C2211yescharacteristic
49C2×D4×Dic43C2211yescharacteristic
50C2×D4×Dic43C2211yescharacteristic, complemented
51C2×#13063287C2211yescharacteristic
52C2×#13063287C2211yescharacteristic
53C2×#13063287C2211yescharacteristic, complemented
54C2×#13063287C2211yescharacteristic, complemented
55C2×C4×C22⋊D43C2211yescharacteristic
56C2×C4×C22⋊D43C2211yescharacteristic
57C2×(C22⋊D43)⋊C4C2211yescharacteristic
58C2×(C22⋊D43)⋊C4C2211yescharacteristic
59C2×(C22⋊D43)⋊C4C2211yescharacteristic
60C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
61C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
62C2×(C22⋊D43)⋊C4C2211yescharacteristic, complemented
63C4×D4×D43—28no—
64C2×#13063283C2211yescharacteristic, complemented
65C2×#13063283C2211yescharacteristic, complemented
66C2×#13063281C2211yescharacteristic, complemented
67C2×C4⋊C4×D43C2211yescharacteristic
68C2×C22⋊C4×D43C2211yescharacteristic
69C2×C22⋊C4×D43C2211yescharacteristic
70C2×C42×D43C2211yescharacteristic
71#14582841C2211yescharacteristic, complemented
72#14582840C2211yescharacteristic, complemented
73#14582835C2211yescharacteristic, complemented
74#14582834C2211yescharacteristic, complemented
75#14582833C2211yescharacteristic, complemented
76#14582832C2211yescharacteristic, complemented
77#14582832C2211yescharacteristic, complemented
78#14582832C2211yescharacteristic, complemented
79#14582829C2211yescharacteristic, complemented
80#14582828C2211yescharacteristic, complemented
81#14582828C2211yescharacteristic, complemented
82#14582828C2211yescharacteristic, complemented
83#14582827C2211yescharacteristic, complemented
84#14582827C2211yescharacteristic, complemented
85#14582827C2211yescharacteristic, complemented
86#14582826C2211yescharacteristic, complemented
87#14582825C2211yescharacteristic, complemented
88#14582824C2211yescharacteristic, complemented
89#14582822C2211yescharacteristic, complemented
90#14582822C2211yescharacteristic, complemented
91#14582821C2211yescharacteristic, complemented
92#14582821C2211yescharacteristic, complemented
93#14582821C2211yescharacteristic, complemented
94#14582821C2211yescharacteristic, complemented
95#14582820C2211yescharacteristic, complemented
96#14582819C2211yescharacteristic, complemented
97#14582817C2211yescharacteristic
98#14582817C2211yescharacteristic, complemented
99#14582816C2211yescharacteristic
100#14582816C2211yescharacteristic, complemented
101#14582816C2211yescharacteristic, complemented
102#14582815C2211yescharacteristic
103#14582815C2211yescharacteristic
104#14582815C2211yescharacteristic, complemented
105#14582815C2211yescharacteristic, complemented
106#14582815C2211yescharacteristic, complemented
107#14582815C2211yescharacteristic, complemented
108#14582815C2211yescharacteristic, complemented
109#14582814C2211yescharacteristic
110#14582814C2211yescharacteristic
111#14582814C2211yescharacteristic, complemented
112#14582814C2211yescharacteristic, complemented
113#14582814C2211yescharacteristic, complemented
114#14582813C2211yescharacteristic
115#14582813C2211yescharacteristic, complemented
116#14582812C2211yescharacteristic, complemented
117#14582811C2211yescharacteristic, complemented
118#14582809C2211yescharacteristic
119#14582808C2211yescharacteristic
120#14582808C2211yescharacteristic
121#14582808C2211yescharacteristic
122#14582808C2211yescharacteristic, complemented
123#14582807C2211yescharacteristic
124#14582807C2211yescharacteristic
125#14582807C2211yescharacteristic
126#14582807C2211yescharacteristic, complemented
127#14582791C2211yescharacteristic, complemented
128#14582790C2211yescharacteristic, complemented
129#14582787C2211yescharacteristic, complemented
130#14582784C2211yescharacteristic, complemented
131#14582783C2211yescharacteristic, complemented
132#14582780C2211yescharacteristic, complemented
133#14582778C2211yescharacteristic, complemented
134#14582777C2211yescharacteristic
135#14582777C2211yescharacteristic
136#14582777C2211yescharacteristic, complemented
137#14582775C2211yescharacteristic
138#14582775C2211yescharacteristic
139#14582775C2211yescharacteristic, complemented
140#14582773C2211yescharacteristic
141#14582773C2211yescharacteristic
142#14582773C2211yescharacteristic, complemented
143#14582772C2211yescharacteristic, complemented
144#14582770C2211yescharacteristic
145#14582770C2211yescharacteristic
146#14582770C2211yescharacteristic, complemented
147#14582761C2211yescharacteristic
148#14582761C2211yescharacteristic
149#14582761C2211yescharacteristic, complemented
150#14582761C2211yescharacteristic, complemented
151#14582759C2211yescharacteristic, complemented
152#14582756C2211yescharacteristic
153#14582756C2211yescharacteristic
154#14582754C2211yescharacteristic
155#14582754C2211yescharacteristic
156#14582754C2211yescharacteristic
157#14582754C2211yescharacteristic
158C4⋊C4×Dic43C2211yescharacteristic, complemented
159C4⋊C4×Dic43C2211yescharacteristic, complemented
160#14582750C2211yescharacteristic, complemented
161#14582750C2211yescharacteristic, complemented
162C22⋊C4×Dic43C2211yescharacteristic, complemented
163C22⋊C4×Dic43C2211yescharacteristic, complemented
164C22⋊C4×Dic43C2211yescharacteristic, complemented
165C22⋊C4×Dic43C2211yescharacteristic, complemented
166C22⋊C4×Dic43C2211yescharacteristic, complemented
167C22⋊C4×Dic43C2211yescharacteristic, complemented
168#14582746C2211yescharacteristic
169#14582746C2211yescharacteristic
170#14582746C2211yescharacteristic, complemented
171#14582746C2211yescharacteristic, complemented
172#14582746C2211yescharacteristic, complemented
173#14582746C2211yescharacteristic, complemented
174C2×#123×C43C2211yescharacteristic, complemented
175C2×C4×D4×C43C2211yescharacteristic
176C43×#398C2211yescharacteristic, complemented
177C43×#397C2211yescharacteristic, complemented
178C43×#396C2211yescharacteristic, complemented
179C43×#396C2211yescharacteristic, complemented
180C43×#394C2211yescharacteristic
181C43×#394C2211yescharacteristic, complemented
182C43×#394C2211yescharacteristic, complemented
183C43×#392C2211yescharacteristic
184C43×#388C2211yescharacteristic, complemented
185C43×#387C2211yescharacteristic, complemented
186C43×#386C2211yescharacteristic, complemented
187C43×#385C2211yescharacteristic, complemented
188C43×#380C2211yescharacteristic, complemented
189C24×D43C2311yescharacteristic
190C24×D43C2311yescharacteristic
191C2×#10621900—24no—
192C2×#10621900—42no—
193C2×#10621900—42no—
194C22×Dic86C2311yescharacteristic
195C22×D172C2311yescharacteristic
196C22×D172C2311yescharacteristic
197C22×D172C2311yescharacteristic
198C22×D172C2311yescharacteristic
199C22×C22⋊D43C2311yescharacteristic
200C22×C22⋊D43C2311yescharacteristic
201C22×C22⋊D43C2311yescharacteristic
202C22×C22⋊D43C2311yescharacteristic
203C22×C22⋊D43C2311yescharacteristic
204C22×C22⋊D43C2311yescharacteristic
205C22×C22⋊D43C2311yescharacteristic
206C22×C22⋊D43C2311yescharacteristic
207C2×D4×D43—24no—
208C2×D4×D43—24no—
209C2×D4×D43—24no—
210C23×Dic43C2311yescharacteristic
211C23×Dic43C2311yescharacteristic
212C23×Dic43C2311yescharacteristic
213C22×C4×D43—24no—
214C22×C4×D43—42no—
215C22×C4×D43—42no—
216C22×C4×D43—42no—
217C22×C4×D43—42no—
218C22×C4×D43D418yescomplemented
219C22×C4×D43C2311yescharacteristic
220C22×C4×D43C2311yescharacteristic
221C22×C4×D43C2311yescharacteristic
222C22×C4×D43C2311yescharacteristic
223C22×C4×D43C2311yescharacteristic
224C22×C4×D43C2311yescharacteristic
225C22×C4×D43C2311yescharacteristic
226C22×C4×D43C2311yescharacteristic
227C22×C4×D43C2311yescharacteristic
228C22×C4×D43C2311yescharacteristic
229#13063310—24no—
230#13063308—24no—
231#13063307—24no—
232#13063303—24no—
233#13063303—24no—
234#13063298—24no—
235#13063298—24no—
236#13063295—24no—
237#13063295—24no—
238#13063293—24no—
239#13063293—24no—
240C4×D172—24no—
241D4×Dic43—24no—
242D4×Dic43—42no—
243#13063287—24no—
244#13063287—24no—
245#13063287—24no—
246#13063287—42no—
247C4×C22⋊D43—24no—
248C4×C22⋊D43—24no—
249(C22⋊D43)⋊C4—24no—
250(C22⋊D43)⋊C4—24no—
251(C22⋊D43)⋊C4—24no—
252(C22⋊D43)⋊C4—24no—
253(C22⋊D43)⋊C4—42no—
254(C22⋊D43)⋊C4—42no—
255#13063283—42no—
256#13063283—42no—
257#13063281—24no—
258C2×C4⋊Dic43C2311yescharacteristic
259C2×C4⋊Dic43C2311yescharacteristic
260C2×C4⋊Dic43C2311yescharacteristic
261C2×C4⋊Dic43C2311yescharacteristic
262C2×C4⋊Dic43C2311yescharacteristic
263C2×C4⋊Dic43C2311yescharacteristic
264C2×Dic43⋊C4C2311yescharacteristic
265C2×Dic43⋊C4C2311yescharacteristic
266C2×Dic43⋊C4C2311yescharacteristic
267C2×Dic43⋊C4C2311yescharacteristic
268C2×Dic43⋊C4C2311yescharacteristic
269C2×Dic43⋊C4C2311yescharacteristic
270C2×Dic43⋊C4C2311yescharacteristic
271C2×Dic43⋊C4C2311yescharacteristic
272C2×Dic43⋊C4C2311yescharacteristic
273C2×Dic43⋊C4C2311yescharacteristic
274C2×Dic43⋊C4C2311yescharacteristic
275C2×Dic43⋊C4C2311yescharacteristic
276C4⋊C4×D43—24no—
277C2×C22⋊Dic43C2311yescharacteristic
278C2×C22⋊Dic43C2311yescharacteristic
279C2×C22⋊Dic43C2311yescharacteristic
280C2×C22⋊Dic43C2311yescharacteristic
281C2×C22⋊Dic43C2311yescharacteristic
282C2×C22⋊Dic43C2311yescharacteristic
283C2×C22⋊Dic43C2311yescharacteristic
284C2×C22⋊Dic43C2311yescharacteristic
285C2×C22⋊Dic43C2311yescharacteristic
286C2×C22⋊Dic43C2311yescharacteristic
287C2×C22⋊Dic43C2311yescharacteristic
288C2×(C2×D43)⋊C4C2311yescharacteristic
289C2×(C2×D43)⋊C4C2311yescharacteristic
290C2×(C2×D43)⋊C4C2311yescharacteristic
291C2×(C2×D43)⋊C4C2311yescharacteristic
292C2×(C2×D43)⋊C4C2311yescharacteristic
293C2×(C2×D43)⋊C4C2311yescharacteristic
294C2×(C2×D43)⋊C4C2311yescharacteristic
295C2×(C2×D43)⋊C4C2311yescharacteristic
296C2×(C2×D43)⋊C4C2311yescharacteristic
297C2×(C2×D43)⋊C4C2311yescharacteristic
298C2×(C2×D43)⋊C4C2311yescharacteristic
299C2×(C2×D43)⋊C4C2311yescharacteristic
300C2×(C2×D43)⋊C4C2311yescharacteristic
301C2×(C2×D43)⋊C4C2311yescharacteristic
302C2×(C2×D43)⋊C4C2311yescharacteristic
303C2×(C2×D43)⋊C4C2311yescharacteristic
304C2×(C2×D43)⋊C4C2311yescharacteristic
305C2×(C2×D43)⋊C4C2311yescharacteristic
306C2×(C2×D43)⋊C4C2311yescharacteristic
307C2×(C2×D43)⋊C4C2311yescharacteristic
308C2×(C2×D43)⋊C4C2311yescharacteristic
309C2×(C2×D43)⋊C4C2311yescharacteristic
310C2×(C2×D43)⋊C4C2311yescharacteristic
311C2×(C2×D43)⋊C4C2311yescharacteristic
312C2×(C2×D43)⋊C4C2311yescharacteristic
313C2×(C2×D43)⋊C4C2311yescharacteristic
314C2×(C2×D43)⋊C4C2311yescharacteristic
315C2×(C2×D43)⋊C4C2311yescharacteristic
316C2×(C2×D43)⋊C4C2311yescharacteristic
317C2×(C2×D43)⋊C4C2311yescharacteristic
318C22⋊C4×D43—24no—
319C22⋊C4×D43—24no—
320C2×C4×Dic43C2311yescharacteristic
321C2×C4×Dic43C2311yescharacteristic
322C2×C4×Dic43C2311yescharacteristic
323C2×C4×Dic43C2311yescharacteristic
324C2×C4×Dic43C2311yescharacteristic
325C2×C4×Dic43C2311yescharacteristic
326C2×C4×Dic43C2311yescharacteristic
327C2×C4×Dic43C2311yescharacteristic
328C2×C4×Dic43C2311yescharacteristic
329C42×D43—24no—
330C43⋊#95C2311yescharacteristic
331C43⋊#95C2311yescharacteristic
332C43⋊#95C2311yescharacteristic
333C43⋊#95C2311yescharacteristic
334C43⋊#95C2311yescharacteristic
335C43⋊#95C2311yescharacteristic
336C43⋊#95C2311yescharacteristic
337C43⋊#95C2311yescharacteristic
338C43⋊#95C2311yescharacteristic
339C43⋊#95C2311yescharacteristic
340C43⋊#95C2311yescharacteristic
341C43⋊#95C2311yescharacteristic
342C43⋊#95C2311yescharacteristic
343C43⋊#95C2311yescharacteristic
344C43⋊#95C2311yescharacteristic
345C43⋊#95C2311yescharacteristic
346C43⋊#95C2311yescharacteristic
347C43⋊#95C2311yescharacteristic
348C43⋊#95C2311yescharacteristic
349C43⋊#95C2311yescharacteristic
350C43⋊#95C2311yescharacteristic
351C43⋊#95C2311yescharacteristic
352C43⋊#95C2311yescharacteristic
353C43⋊#95C2311yescharacteristic
354C22×D4×C43C2311yescharacteristic
355C22×D4×C43C2311yescharacteristic
356C22×D4×C43C2311yescharacteristic
357C23×C4×C43C2311yescharacteristic
358C23×C4×C43C2311yescharacteristic
359#123×C43—24no—
360C4×D4×C43—24no—
361C2×C4⋊C4×C43C2311yescharacteristic
362C2×C4⋊C4×C43C2311yescharacteristic
363C2×C4⋊C4×C43C2311yescharacteristic
364C2×C4⋊C4×C43C2311yescharacteristic
365C2×C4⋊C4×C43C2311yescharacteristic
366C2×C4⋊C4×C43C2311yescharacteristic
367C2×C4⋊C4×C43C2311yescharacteristic
368C2×C4⋊C4×C43C2311yescharacteristic
369C2×C22⋊C4×C43C2311yescharacteristic
370C2×C22⋊C4×C43C2311yescharacteristic
371C2×C22⋊C4×C43C2311yescharacteristic
372C2×C22⋊C4×C43C2311yescharacteristic
373C2×C22⋊C4×C43C2311yescharacteristic
374C2×C22⋊C4×C43C2311yescharacteristic
375C2×C22⋊C4×C43C2311yescharacteristic
376C2×C22⋊C4×C43C2311yescharacteristic
377C2×C22⋊C4×C43C2311yescharacteristic
378C2×C22⋊C4×C43C2311yescharacteristic
379C2×C22⋊C4×C43C2311yescharacteristic
380C2×C22⋊C4×C43C2311yescharacteristic
381C2×C22⋊C4×C43C2311yescharacteristic
382C2×C42×C43C2311yescharacteristic
383#95×C43C2311yescharacteristic
384#95×C43C2311yescharacteristic
385#95×C43C2311yescharacteristic
386#95×C43C2311yescharacteristic
387#95×C43C2311yescharacteristic
388#95×C43C2311yescharacteristic
389#95×C43C2311yescharacteristic
390#95×C43C2311yescharacteristic
391C24×C43C2411yescharacteristic
392C24×C43C2411yescharacteristic
393C24×C43C2411yescharacteristic
394C23×D43—22no—
395C23×D43—22no—
396C23×D43—22no—
397C23×D43—22no—
398C23×D43—41no—
399C23×D43—41no—
400C23×D43—41no—
401C23×D43—41no—
402C23×D43—41no—
403C23×D43—41no—
404C23×D43—41no—
405C23×D43—41no—
406C23×D43C2×D414yes—
407C23×D43#4114yescomplemented
408C23×D43C2411yescharacteristic
409C23×D43C2411yescharacteristic
410C23×D43C2411yescharacteristic
411C23×D43C2411yescharacteristic
412C2×D4×C43—22no—
413C2×D4×C43—22no—
414C2×D4×C43—22no—
415C2×D4×C43—22no—
416C2×D4×C43—22no—
417C2×D4×C43—41no—
418C2×D4×C43—41no—
419C2×D4×C43—41no—
420C2×D4×C43—41no—
421C22×C4×C43—22no—
422C22×C4×C43—41no—
423C22×C4×C43—41no—
424C22×C4×C43—41no—
425C22×C4×C43—41no—
426C22×C4×C43C2×D414yes—
427C22×C4×C43C2411yescharacteristic
428C22×C4×C43C2411yescharacteristic
429C22×C4×C43C2411yescharacteristic
430C22×C4×C43C2411yescharacteristic
431C22×C4×C43C2411yescharacteristic
432C22×C4×C43C2411yescharacteristic
433C22×C4×C43C2411yescharacteristic
434C22×C4×C43C2411yescharacteristic
435C22×C4×C43C2411yescharacteristic
436C22×C4×C43C2411yescharacteristic
437C22×C4×C43C2411yescharacteristic
438C22×C4×C43C2411yescharacteristic
439C2×C22⋊D43—22no—
440C2×C22⋊D43—22no—
441C2×C22⋊D43—22no—
442C2×C22⋊D43—22no—
443C2×C22⋊D43—22no—
444C2×C22⋊D43—22no—
445C2×C22⋊D43—22no—
446C2×C22⋊D43—22no—
447C2×C22⋊D43—22no—
448C2×C22⋊D43—22no—
449C2×C22⋊D43—22no—
450C2×C22⋊D43—22no—
451C2×C22⋊D43—22no—
452C2×C22⋊D43—22no—
453C2×C22⋊D43—41no—
454C2×C22⋊D43—41no—
455C2×C22⋊D43—41no—
456C2×C22⋊D43—41no—
457C2×C22⋊D43—41no—
458C2×C22⋊D43—41no—
459C2×C22⋊D43—41no—
460C2×C22⋊D43—41no—
461C2×C22⋊D43—41no—
462C2×C22⋊D43—41no—
463C22×Dic43—22no—
464C22×Dic43—22no—
465C22×Dic43—22no—
466C22×Dic43—22no—
467C22×Dic43—22no—
468C22×Dic43—22no—
469C22×Dic43—22no—
470C22×Dic43—22no—
471C22×Dic43C2×D414yes—
472C22×Dic43C2411yescharacteristic
473C22×Dic43C2411yescharacteristic
474C22×Dic43C2411yescharacteristic
475C22×Dic43C2411yescharacteristic
476C22×Dic43C2411yescharacteristic
477C22×Dic43C2411yescharacteristic
478C22×Dic43C2411yescharacteristic
479C22×Dic43C2411yescharacteristic
480C22×Dic43C2411yescharacteristic
481C22×Dic43C2411yescharacteristic
482C22×Dic43C2411yescharacteristic
483C22×Dic43C2411yescharacteristic
484#10621900—416no—
485D4×D43—232no—
486C2×D172—22no—
487C2×D172—22no—
488C2×D172—22no—
489C2×D172—22no—
490C2×D172—22no—
491C2×D172—22no—
492C2×D172—22no—
493C2×D172—22no—
494C2×D172—41no—
495C2×D172—41no—
496C2×D172—41no—
497C2×D172—41no—
498C2×C4×D43—22no—
499C2×C4×D43—22no—
500C2×C4×D43—22no—
501C2×C4×D43—22no—
502C2×C4×D43—22no—
503C2×C4×D43—22no—
504C2×C4×D43—22no—
505C2×C4×D43—22no—
506C2×C4×D43—22no—
507C2×C4×D43—22no—
508C2×C4×D43—22no—
509C2×C4×D43—22no—
510C2×C4×D43—22no—
511C2×C4×D43—22no—
512C2×C4×D43—22no—
513C2×C4×D43—41no—
514C2×C4×D43—41no—
515C2×C4×D43—41no—
516C2×C4×D43—41no—
517C2×C4×D43—41no—
518C2×C4×D43—41no—
519C2×C4×D43—41no—
520C2×C4×D43—41no—
521C2×C4×D43—41no—
522C2×C4×D43—41no—
523C2×C4×D43—416no—
524C2×C4×D43—416no—
525C2×C4×D43C2×D414yes—
526C2×C4×D43C2×D414yes—
527C2×C4×D43C2×D414yes—
528C2×C4×D43C2×D414yes—
529C2×C4×D43#4114yescomplemented
530C2×Dic86—22no—
531C2×Dic86—41no—
532C2×Dic86—41no—
533C4⋊C4×C43—22no—
534C4⋊C4×C43—22no—
535C4⋊C4×C43—22no—
536C4⋊C4×C43—22no—
537C4⋊C4×C43—41no—
538C4⋊C4×C43—41no—
539C4⋊C4×C43—41no—
540C4⋊C4×C43—41no—
541C22⋊C4×C43—22no—
542C22⋊C4×C43—22no—
543C22⋊C4×C43—22no—
544C22⋊C4×C43—22no—
545C22⋊C4×C43—22no—
546C22⋊C4×C43—22no—
547C22⋊C4×C43—22no—
548C22⋊C4×C43—41no—
549C22⋊C4×C43—41no—
550C22⋊C4×C43—41no—
551C22⋊C4×C43—41no—
552C22⋊C4×C43—41no—
553C22⋊C4×C43—41no—
554C42×C43—22no—
555C22⋊Dic43—22no—
556C22⋊Dic43—22no—
557C22⋊Dic43—22no—
558C22⋊Dic43—22no—
559C22⋊Dic43—22no—
560C22⋊Dic43—41no—
561C22⋊Dic43—41no—
562C22⋊Dic43—41no—
563C22⋊Dic43—41no—
564C22⋊Dic43—41no—
565C22⋊Dic43—41no—
566(C2×D43)⋊C4—22no—
567(C2×D43)⋊C4—22no—
568(C2×D43)⋊C4—22no—
569(C2×D43)⋊C4—22no—
570(C2×D43)⋊C4—22no—
571(C2×D43)⋊C4—22no—
572(C2×D43)⋊C4—22no—
573(C2×D43)⋊C4—22no—
574(C2×D43)⋊C4—22no—
575(C2×D43)⋊C4—22no—
576(C2×D43)⋊C4—22no—
577(C2×D43)⋊C4—22no—
578(C2×D43)⋊C4—22no—
579(C2×D43)⋊C4—22no—
580(C2×D43)⋊C4—22no—
581(C2×D43)⋊C4—22no—
582(C2×D43)⋊C4—22no—
583(C2×D43)⋊C4—22no—
584(C2×D43)⋊C4—41no—
585(C2×D43)⋊C4—41no—
586(C2×D43)⋊C4—41no—
587(C2×D43)⋊C4—41no—
588(C2×D43)⋊C4—41no—
589(C2×D43)⋊C4—41no—
590(C2×D43)⋊C4—41no—
591(C2×D43)⋊C4—41no—
592(C2×D43)⋊C4—41no—
593(C2×D43)⋊C4—41no—
594(C2×D43)⋊C4—41no—
595(C2×D43)⋊C4—41no—
596C4⋊Dic43—22no—
597C4⋊Dic43—22no—
598C4⋊Dic43—41no—
599C4⋊Dic43—41no—
600C4⋊Dic43—41no—
601C4⋊Dic43—41no—
602Dic43⋊C4—22no—
603Dic43⋊C4—22no—
604Dic43⋊C4—22no—
605Dic43⋊C4—22no—
606Dic43⋊C4—22no—
607Dic43⋊C4—22no—
608Dic43⋊C4—22no—
609Dic43⋊C4—22no—
610Dic43⋊C4—41no—
611Dic43⋊C4—41no—
612Dic43⋊C4—41no—
613Dic43⋊C4—41no—
614C4×Dic43—22no—
615C4×Dic43—22no—
616C4×Dic43—22no—
617C4×Dic43—22no—
618C4×Dic43—22no—
619C4×Dic43—22no—
620C4×Dic43—22no—
621C4×Dic43—22no—
622C4×Dic43—22no—
623C23×C43—21no—
624C23×C43—21no—
625C23×C43—21no—
626C23×C43—21no—
627C23×C43—21no—
628C23×C43—21no—
629C23×C43—21no—
630C23×C43—21no—
631C23×C43—21no—
632C23×C43—21no—
633C23×C43—21no—
634C23×C43—21no—
635C23×C43—21no—
636C23×C43—21no—
637C23×C43—21no—
638C23×C43—21no—
639C23×C43—21no—
640C23×C43—21no—
641C23×C43—21no—
642C23×C43C22×D412yes—
643C23×C43C2×#4112yes—
644C23×C43C2511yescharacteristic
645C22×D43—21no—
646C22×D43—21no—
647C22×D43—21no—
648C22×D43—21no—
649C22×D43—21no—
650C22×D43—21no—
651C22×D43—21no—
652C22×D43—21no—
653C22×D43—21no—
654C22×D43—21no—
655C22×D43—21no—
656C22×D43—21no—
657C22×D43—21no—
658C22×D43—21no—
659C22×D43—21no—
660C22×D43—21no—
661C22×D43—28no—
662C22×D43—28no—
663C22×D43—21no—
664C22×D43—21no—
665C22×D43—21no—
666C22×D43—21no—
667C22×D43—21no—
668C22×D43—21no—
669C22×D43—21no—
670C22×D43—44no—
671C22×D43—44no—
672C22×D43—44no—
673C22×D43—44no—
674C22×D43—44no—
675C22×D43—44no—
676C22×D43—44no—
677C22×D43—44no—
678C22×D43—44no—
679C22×D43—44no—
680C22×D43—44no—
681C22×D43—44no—
682C22×D43C22×D412yes—
683C22×D43C22×D412yes—
684C22×D43C2×#4112yes—
685C22×D43C2×#4112yes—
686C22×D43C2×#4112yes—
687D4×C43—28no—
688D4×C43—44no—
689D4×C43—44no—
690C2×C4×C43—21no—
691C2×C4×C43—21no—
692C2×C4×C43—21no—
693C2×C4×C43—21no—
694C2×C4×C43—21no—
695C2×C4×C43—21no—
696C2×C4×C43—21no—
697C2×C4×C43—21no—
698C2×C4×C43—21no—
699C2×C4×C43—21no—
700C2×C4×C43—21no—
701C2×C4×C43—21no—
702C2×C4×C43—21no—
703C2×C4×C43—21no—
704C2×C4×C43—21no—
705C2×C4×C43—21no—
706C2×C4×C43—21no—
707C2×C4×C43—21no—
708C2×C4×C43—21no—
709C2×C4×C43—21no—
710C2×C4×C43—21no—
711C2×C4×C43—21no—
712C2×C4×C43—21no—
713C2×C4×C43—21no—
714C2×C4×C43—21no—
715C2×C4×C43—21no—
716C2×C4×C43—21no—
717C2×C4×C43—21no—
718C2×C4×C43—21no—
719C2×C4×C43—21no—
720C2×C4×C43—21no—
721C2×C4×C43—21no—
722C2×C4×C43—21no—
723C2×C4×C43—44no—
724C2×C4×C43—44no—
725C2×C4×C43C22×D412yes—
726C2×C4×C43C22×D412yes—
727C2×C4×C43C2×#4112yes—
728C22⋊D43—28no—
729C22⋊D43—28no—
730C22⋊D43—44no—
731C22⋊D43—44no—
732C22⋊D43—44no—
733C22⋊D43—44no—
734C22⋊D43—44no—
735C22⋊D43—44no—
736C2×Dic43—21no—
737C2×Dic43—21no—
738C2×Dic43—21no—
739C2×Dic43—21no—
740C2×Dic43—28no—
741C2×Dic43—21no—
742C2×Dic43—21no—
743C2×Dic43—21no—
744C2×Dic43—21no—
745C2×Dic43—21no—
746C2×Dic43—21no—
747C2×Dic43—21no—
748C2×Dic43—21no—
749C2×Dic43—21no—
750C2×Dic43—21no—
751C2×Dic43—21no—
752C2×Dic43—21no—
753C2×Dic43—21no—
754C2×Dic43—21no—
755C2×Dic43—21no—
756C2×Dic43—21no—
757C2×Dic43—21no—
758C2×Dic43—21no—
759C2×Dic43—21no—
760C2×Dic43—21no—
761C2×Dic43—21no—
762C2×Dic43—21no—
763C2×Dic43—21no—
764C2×Dic43—21no—
765C2×Dic43—21no—
766C2×Dic43—21no—
767C2×Dic43—21no—
768C2×Dic43—44no—
769C2×Dic43—44no—
770C2×Dic43C22×D412yes—
771C2×Dic43C22×D412yes—
772C2×Dic43C2×#4112yes—
773C2×Dic43H(5,𝔽2)12yes—
774C2×Dic43H(5,𝔽2)12yes—
775D172—28no—
776D172—44no—
777D172—44no—
778D172—44no—
779C4×D43—28no—
780C4×D43—28no—
781C4×D43—28no—
782C4×D43—44no—
783C4×D43—44no—
784C4×D43—44no—
785C4×D43—44no—
786C4×D43—44no—
787C4×D43—44no—
788C4×D43—44no—
789Dic86—44no—
790#34562—431nomaximal, Sylow
791C22×C43—22no—
792C22×C43—22no—
793C22×C43—22no—
794C22×C43—22no—
795C22×C43—22no—
796C22×C43—22no—
797C22×C43—41no—
798C22×C43—41no—
799C22×C43—41no—
800C22×C43—41no—
801C22×C43—41no—
802C22×C43—41no—
803C22×C43—41no—
804C22×C43—41no—
805C22×C43—41no—
806C22×C43—41no—
807C22×C43—41no—
808C22×C43—41no—
809C22×C43—41no—
810C22×C43—41no—
811C22×C43—41no—
812C22×C43C23×D411yescharacteristic
813C22×C43C22×#4111yescharacteristic
814C22×C43C22×#4111yescharacteristic
815C22×C43C2×H(5,𝔽2)11yescharacteristic
816C22×C43C2×H(5,𝔽2)11yescharacteristic
817C22×C43#58511yescharacteristic
818C22×C43#58511yescharacteristic
819C2×D43—22no—
820C2×D43—22no—
821C2×D43—22no—
822C2×D43—22no—
823C2×D43—22no—
824C2×D43—22no—
825C2×D43—22no—
826C2×D43—22no—
827C2×D43—22no—
828C2×D43—22no—
829C2×D43—22no—
830C2×D43—22no—
831C2×D43—416no—
832C2×D43—416no—
833C2×D43—41no—
834C2×D43—41no—
835C2×D43—41no—
836C2×D43—41no—
837C2×D43—41no—
838C2×D43—41no—
839C2×D43—41no—
840C2×D43—41no—
841C2×D43—41no—
842C2×D43—41no—
843C2×D43—41no—
844C2×D43—41no—
845C2×D43—41no—
846C2×D43—41no—
847C2×D43—41no—
848C2×D43#52514yes—
849C4×C43—22no—
850C4×C43—22no—
851C4×C43—22no—
852C4×C43—41no—
853C4×C43—41no—
854C4×C43—41no—
855C4×C43—41no—
856C4×C43—41no—
857C4×C43—41no—
858C4×C43—41no—
859C4×C43—41no—
860C4×C43—41no—
861Dic43—22no—
862Dic43—22no—
863Dic43—41no—
864Dic43—41no—
865Dic43—41no—
866Dic43—41no—
867Dic43—41no—
868Dic43—41no—
869Dic43—41no—
870Dic43—41no—
871Dic43—41no—
872Dic43#53414yes—
873C2×#525—431no—
874C22×C4×D4—431no—
875#2638—431no—
876#2638—431no—
877#2635—431no—
878#2635—431no—
879#2630—431no—
880#2630—431no—
881#2630—431no—
882#2630D4311yescharacteristic, complemented
883#2627—431no—
884#2626—431no—
885#2622—431no—
886#2622—431no—
887#2618—431no—
888#2617—431no—
889#2613—431no—
890#2613—431no—
891#2395—431no—
892#2395—431no—
893#2392—431no—
894#2392—431no—
895#2392—431no—
896#2392—431no—
897#2388—431no—
898#2388—431no—
899C4×#123—431no—
900C4×#123—431no—
901C4×#120—431no—
902C4×#120—431no—
903#2280—431no—
904C2×C43—42no—
905C2×C43—42no—
906C2×C43—81no—
907C2×C43C2×#52511yescharacteristic
908C2×C43C2×#53411yescharacteristic
909C2×C43#344911yescharacteristic
910C2×C43#345911yescharacteristic
911C2×C43#345911yescharacteristic
912C2×C43#346011yescharacteristic
913C2×C43#346011yescharacteristic
914D43—24no—
915D43—42no—
916D43—42no—
917D43—81no—
918C22×#41—431no—
919C23×D4—431no—
920C24×C4—431no—
921C24×C4—431no—
922#525—868no—
923C2×#123—431no—
924C2×#123—431no—
925C2×#123—431no—
926C2×#123C2×D4311yescharacteristic, complemented
927C2×C22⋊Q8—431no—
928C2×C22⋊Q8—431no—
929C2×#121—431no—
930C2×#121—431no—
931C2×#120—431no—
932C2×#120—431no—
933C2×#120—431no—
934C2×#120—431no—
935C2×C4×D4—431no—
936C2×C4×D4—431no—
937C2×C4×D4—431no—
938C2×C4×D4—431no—
939C2×C4×D4—431no—
940C2×C4×D4—431no—
941C2×C4×D4—431no—
942C2×C4×D4—431no—
943C2×C4×D4—431no—
944C2×C4×D4—431no—
945C2×C4×D4—431no—
946C2×C4×D4—431no—
947C2×C4×D4—431no—
948C2×C4×D4—431no—
949C2×C4×D4—431no—
950C2×C4×D4—868no—
951C2×C4×D4C2×D4311yescharacteristic
952C2×#117—431no—
953C2×#117—431no—
954C2×#117—431no—
955C22×C4⋊C4—431no—
956C22×C22⋊C4—431no—
957C22×C22⋊C4—431no—
958C22×C42—431no—
959#400—431no—
960#400—431no—
961#399—431no—
962#399—431no—
963#398—431no—
964#398—431no—
965#398—431no—
966#398—431no—
967#398—431no—
968#398C2×D4311yescharacteristic, complemented
969#397—431no—
970#397—431no—
971#397—431no—
972#397—431no—
973#397—431no—
974#397—431no—
975#397—431no—
976#397—431no—
977#397—431no—
978#397C2×D4311yescharacteristic, complemented
979#396—431no—
980#396—431no—
981#396—431no—
982#396—431no—
983#396—431no—
984#396—431no—
985#396C2×D4311yescharacteristic, complemented
986#396C2×D4311yescharacteristic, complemented
987#395—431no—
988#395—431no—
989#394—431no—
990#394—431no—
991#394—431no—
992#394—431no—
993#394—431no—
994#394—431no—
995#394—431no—
996#394—431no—
997#394—431no—
998#394—431no—
999#394—431no—
1000#394—431no—
1001#394—431no—
1002#394—431no—
1003#394—431no—
1004#394—431no—
1005#394—431no—
1006#394—431no—
1007#394—431no—
1008#394C2×D4311yescharacteristic
1009#394C2×D4311yescharacteristic, complemented
1010#394C2×D4311yescharacteristic, complemented
1011#393—431no—
1012#393—431no—
1013#392—431no—
1014#392—431no—
1015#392—431no—
1016#392—431no—
1017#392—431no—
1018#392—431no—
1019#392—431no—
1020#392—431no—
1021#392—431no—
1022#392C2×D4311yescharacteristic
1023#388—431no—
1024#388—431no—
1025#388—431no—
1026#388C2×D4311yescharacteristic, complemented
1027#387—431no—
1028#387—431no—
1029#387—431no—
1030#387C2×D4311yescharacteristic, complemented
1031#386—431no—
1032#386—431no—
1033#386—431no—
1034#386—431no—
1035#386—431no—
1036#386—431no—
1037#386—431no—
1038#386C2×D4311yescharacteristic, complemented
1039#385—431no—
1040#385—431no—
1041#385—431no—
1042#385—431no—
1043#385—431no—
1044#385—431no—
1045#385—431no—
1046#385C2×D4311yescharacteristic, complemented
1047#381—431no—
1048#381—431no—
1049#381—431no—
1050#381—431no—
1051#380—431no—
1052#380—431no—
1053#380—431no—
1054#380C2×D4311yescharacteristic, complemented
1055#379—431no—
1056#379—431no—
1057#379—431no—
1058#379—431no—
1059C4×C4⋊C4—431no—
1060C4×C4⋊C4—431no—
1061C4×C4⋊C4—431no—
1062C4×C4⋊C4—431no—
1063C4×C22⋊C4—431no—
1064C4×C22⋊C4—431no—
1065C4×C22⋊C4—431no—
1066C4×C22⋊C4—431no—
1067C4×C22⋊C4—431no—
1068C4×C22⋊C4—431no—
1069C4×C22⋊C4—431no—
1070C4×C22⋊C4—431no—
1071C4×C22⋊C4—431no—
1072C4×C22⋊C4—431no—
1073C4×C22⋊C4—431no—
1074C4×C22⋊C4—431no—
1075C43#3456211yescharacteristic, complemented, Sylow
1076C25—431no—
1077C25—431no—
1078C2×#41—864no—
1079C2×#41—1722no—
1080C2×#41—1722no—
1081C22×Q8—431no—
1082C22×D4—431no—
1083C22×D4—431no—
1084C22×D4—431no—
1085C22×D4—431no—
1086C22×D4—431no—
1087C22×D4—431no—
1088C22×D4—431no—
1089C22×D4—431no—
1090C22×D4—431no—
1091C22×D4—431no—
1092C22×D4—431no—
1093C22×D4—431no—
1094C22×D4—864no—
1095C22×D4—864no—
1096C22×D4—864no—
1097C22×D4C22×D4311yescharacteristic
1098C22×D4C22×D4311yescharacteristic
1099C22×D4C22×D4311yescharacteristic
1100C23×C4—431no—
1101C23×C4—431no—
1102C23×C4—431no—
1103C23×C4—431no—
1104C23×C4—438no—
1105C23×C4—431no—
1106C23×C4—431no—
1107C23×C4—431no—
1108C23×C4—431no—
1109C23×C4—431no—
1110C23×C4—431no—
1111C23×C4—431no—
1112C23×C4—431no—
1113C23×C4—431no—
1114C23×C4—864no—
1115C23×C4—1722no—
1116C23×C4—1722no—
1117C23×C4—1722no—
1118C23×C4—1722no—
1119C23×C4C22×D4311yescharacteristic
1120C23×C4C22×D4311yescharacteristic
1121#123—24no—
1122#123—864no—
1123#123—864no—
1124#123—864no—
1125C22⋊Q8—864no—
1126C22⋊Q8—864no—
1127#121—864no—
1128#121—864no—
1129#120—864no—
1130#120—864no—
1131#120—864no—
1132#120—864no—
1133C4×D4—24no—
1134C4×D4—864no—
1135C4×D4—864no—
1136C4×D4—864no—
1137C4×D4—864no—
1138C4×D4—864no—
1139C4×D4—864no—
1140C4×D4—864no—
1141C4×D4—864no—
1142C4×D4—864no—
1143C4×D4—864no—
1144C4×D4—864no—
1145C4×D4—1722no—
1146C4×D4—1722no—
1147C4×D4—1722no—
1148C4×D4—1722no—
1149#117—864no—
1150#117—1722no—
1151#117—1722no—
1152C2×C4⋊C4—431no—
1153C2×C4⋊C4—431no—
1154C2×C4⋊C4—431no—
1155C2×C4⋊C4—431no—
1156C2×C4⋊C4—431no—
1157C2×C4⋊C4—431no—
1158C2×C4⋊C4—431no—
1159C2×C4⋊C4—431no—
1160C2×C4⋊C4—431no—
1161C2×C4⋊C4—431no—
1162C2×C4⋊C4—431no—
1163C2×C4⋊C4—431no—
1164C2×C4⋊C4—431no—
1165C2×C4⋊C4—431no—
1166C2×C4⋊C4—431no—
1167C2×C4⋊C4—431no—
1168C2×C4⋊C4—431no—
1169C2×C4⋊C4—431no—
1170C2×C4⋊C4—864no—
1171C2×C4⋊C4C22×D4311yescharacteristic
1172C2×C4⋊C4C22×D4311yescharacteristic
1173C2×C4⋊C4C22×D4311yescharacteristic
1174C2×C4⋊C4C22×D4311yescharacteristic
1175C2×C4⋊C4C22×D4311yescharacteristic
1176C2×C4⋊C4C22×D4311yescharacteristic
1177C2×C4⋊C4C22×D4311yescharacteristic
1178C2×C4⋊C4C22×D4311yescharacteristic
1179C2×C22⋊C4—431no—
1180C2×C22⋊C4—431no—
1181C2×C22⋊C4—431no—
1182C2×C22⋊C4—431no—
1183C2×C22⋊C4—431no—
1184C2×C22⋊C4—431no—
1185C2×C22⋊C4—431no—
1186C2×C22⋊C4—431no—
1187C2×C22⋊C4—431no—
1188C2×C22⋊C4—431no—
1189C2×C22⋊C4—431no—
1190C2×C22⋊C4—431no—
1191C2×C22⋊C4—431no—
1192C2×C22⋊C4—431no—
1193C2×C22⋊C4—431no—
1194C2×C22⋊C4—431no—
1195C2×C22⋊C4—431no—
1196C2×C22⋊C4—431no—
1197C2×C22⋊C4—431no—
1198C2×C22⋊C4—431no—
1199C2×C22⋊C4—431no—
1200C2×C22⋊C4—431no—
1201C2×C22⋊C4—431no—
1202C2×C22⋊C4—431no—
1203C2×C22⋊C4—431no—
1204C2×C22⋊C4—431no—
1205C2×C22⋊C4—431no—
1206C2×C22⋊C4—431no—
1207C2×C22⋊C4—431no—
1208C2×C22⋊C4—431no—
1209C2×C22⋊C4—431no—
1210C2×C22⋊C4—431no—
1211C2×C22⋊C4—431no—
1212C2×C22⋊C4—431no—
1213C2×C22⋊C4—431no—
1214C2×C22⋊C4—431no—
1215C2×C22⋊C4—431no—
1216C2×C22⋊C4—431no—
1217C2×C22⋊C4—431no—
1218C2×C22⋊C4—431no—
1219C2×C22⋊C4—431no—
1220C2×C22⋊C4—864no—
1221C2×C22⋊C4—864no—
1222C2×C22⋊C4C22×D4311yescharacteristic
1223C2×C22⋊C4C22×D4311yescharacteristic
1224C2×C22⋊C4C22×D4311yescharacteristic
1225C2×C22⋊C4C22×D4311yescharacteristic
1226C2×C22⋊C4C22×D4311yescharacteristic
1227C2×C22⋊C4C22×D4311yescharacteristic
1228C2×C22⋊C4C22×D4311yescharacteristic
1229C2×C22⋊C4C22×D4311yescharacteristic
1230C2×C22⋊C4C22×D4311yescharacteristic
1231C2×C22⋊C4C22×D4311yescharacteristic
1232C2×C22⋊C4C22×D4311yescharacteristic
1233C2×C22⋊C4C22×D4311yescharacteristic
1234C2×C22⋊C4C22×D4311yescharacteristic
1235C2×C42—431no—
1236C2×C42—431no—
1237C2×C42—431no—
1238C2×C42—431no—
1239C2×C42—431no—
1240C2×C42—431no—
1241C2×C42—431no—
1242C2×C42—431no—
1243C2×C42—431no—
1244C2×C42—864no—
1245C2×C42C22×D4311yescharacteristic
1246#95—431no—
1247#95—431no—
1248#95—431no—
1249#95—431no—
1250#95—431no—
1251#95—431no—
1252#95—431no—
1253#95—431no—
1254#95—431no—
1255#95—431no—
1256#95—431no—
1257#95—431no—
1258#95—431no—
1259#95—431no—
1260#95—431no—
1261#95—431no—
1262#95—431no—
1263#95—431no—
1264#95—431no—
1265#95—431no—
1266#95—431no—
1267#95—431no—
1268#95—431no—
1269#95—431no—
1270#95C22×D4311yescharacteristic
1271#95C22×D4311yescharacteristic
1272#95C22×D4311yescharacteristic
1273#95C22×D4311yescharacteristic
1274#95C22×D4311yescharacteristic
1275#95C22×D4311yescharacteristic
1276#95C22×D4311yescharacteristic
1277#95C22×D4311yescharacteristic
1278C24—431no—
1279C24—431no—
1280C24—431no—
1281C24—434no—
1282C24—434no—
1283C24—431no—
1284C24—862no—
1285C24—862no—
1286C24—862no—
1287C24—862no—
1288C24—1721no—
1289C24—1721no—
1290C24—1721no—
1291C24—1721no—
1292C24—1721no—
1293C24—1721no—
1294C24—1721no—
1295C24—1721no—
1296C24C23×D4311yescharacteristic
1297C24C23×D4311yescharacteristic
1298C24C23×D4311yescharacteristic
1299#41—17216no—
1300C2×Q8—862no—
1301C2×Q8—1721no—
1302C2×Q8—1721no—
1303C2×D4—22no—
1304C2×D4—22no—
1305C2×D4—22no—
1306C2×D4—22no—
1307C2×D4—22no—
1308C2×D4—41no—
1309C2×D4—41no—
1310C2×D4—41no—
1311C2×D4—41no—
1312C2×D4—862no—
1313C2×D4—862no—
1314C2×D4—862no—
1315C2×D4—862no—
1316C2×D4—862no—
1317C2×D4—862no—
1318C2×D4—862no—
1319C2×D4—862no—
1320C2×D4—862no—
1321C2×D4—862no—
1322C2×D4—8632no—
1323C2×D4—862no—
1324C2×D4—862no—
1325C2×D4—862no—
1326C2×D4—862no—
1327C2×D4—862no—
1328C2×D4—862no—
1329C2×D4—862no—
1330C2×D4—862no—
1331C2×D4—862no—
1332C2×D4—862no—
1333C2×D4—862no—
1334C2×D4—862no—
1335C2×D4—1721no—
1336C2×D4—1721no—
1337C2×D4—1721no—
1338C2×D4—1721no—
1339C2×D4—1721no—
1340C2×D4—1721no—
1341C2×D4—1721no—
1342C2×D4—1721no—
1343C2×D4—1721no—
1344C2×D4—1721no—
1345C2×D4—1721no—
1346C2×D4—1721no—
1347C2×D4—1721no—
1348C2×D4—1721no—
1349C22×C4—22no—
1350C22×C4—41no—
1351C22×C4—41no—
1352C22×C4—41no—
1353C22×C4—41no—
1354C22×C4—431no—
1355C22×C4—434no—
1356C22×C4—431no—
1357C22×C4—431no—
1358C22×C4—434no—
1359C22×C4—434no—
1360C22×C4—434no—
1361C22×C4—434no—
1362C22×C4—434no—
1363C22×C4—431no—
1364C22×C4—431no—
1365C22×C4—431no—
1366C22×C4—431no—
1367C22×C4—431no—
1368C22×C4—431no—
1369C22×C4—431no—
1370C22×C4—431no—
1371C22×C4—431no—
1372C22×C4—862no—
1373C22×C4—862no—
1374C22×C4—862no—
1375C22×C4—862no—
1376C22×C4—862no—
1377C22×C4—862no—
1378C22×C4—862no—
1379C22×C4—862no—
1380C22×C4—862no—
1381C22×C4—862no—
1382C22×C4—862no—
1383C22×C4—862no—
1384C22×C4—862no—
1385C22×C4—862no—
1386C22×C4—862no—
1387C22×C4—862no—
1388C22×C4—862no—
1389C22×C4—862no—
1390C22×C4—862no—
1391C22×C4—862no—
1392C22×C4—862no—
1393C22×C4—862no—
1394C22×C4—862no—
1395C22×C4—1721no—
1396C22×C4—1721no—
1397C22×C4—1721no—
1398C22×C4—1721no—
1399C22×C4—1721no—
1400C22×C4—1721no—
1401C22×C4—1721no—
1402C22×C4—1721no—
1403C22×C4—1721no—
1404C22×C4—1721no—
1405C22×C4—17216no—
1406C22×C4—17216no—
1407C22×C4D4×D4314yes—
1408C22×C4C23×D4311yescharacteristic
1409C22×C4C23×D4311yescharacteristic
1410C22×C4C23×D4311yescharacteristic
1411C22×C4C23×D4311yescharacteristic
1412C22×C4C23×D4311yescharacteristic
1413C22×C4C23×D4311yescharacteristic
1414C22×C4C23×D4311yescharacteristic
1415C22×C4C23×D4311yescharacteristic
1416C22×C4C23×D4311yescharacteristic
1417C22×C4C23×D4311yescharacteristic
1418C22×C4C23×D4311yescharacteristic
1419C22×C4C23×D4311yescharacteristic
1420C4⋊C4—22no—
1421C4⋊C4—22no—
1422C4⋊C4—22no—
1423C4⋊C4—22no—
1424C4⋊C4—41no—
1425C4⋊C4—41no—
1426C4⋊C4—41no—
1427C4⋊C4—41no—
1428C4⋊C4—862no—
1429C4⋊C4—862no—
1430C4⋊C4—862no—
1431C4⋊C4—862no—
1432C4⋊C4—862no—
1433C4⋊C4—862no—
1434C4⋊C4—862no—
1435C4⋊C4—862no—
1436C4⋊C4—862no—
1437C4⋊C4—862no—
1438C4⋊C4—1721no—
1439C4⋊C4—1721no—
1440C4⋊C4—1721no—
1441C4⋊C4—1721no—
1442C4⋊C4—1721no—
1443C4⋊C4—1721no—
1444C4⋊C4—1721no—
1445C4⋊C4—1721no—
1446C22⋊C4—22no—
1447C22⋊C4—22no—
1448C22⋊C4—22no—
1449C22⋊C4—22no—
1450C22⋊C4—22no—
1451C22⋊C4—22no—
1452C22⋊C4—22no—
1453C22⋊C4—41no—
1454C22⋊C4—41no—
1455C22⋊C4—41no—
1456C22⋊C4—41no—
1457C22⋊C4—41no—
1458C22⋊C4—41no—
1459C22⋊C4—862no—
1460C22⋊C4—862no—
1461C22⋊C4—862no—
1462C22⋊C4—862no—
1463C22⋊C4—862no—
1464C22⋊C4—862no—
1465C22⋊C4—862no—
1466C22⋊C4—862no—
1467C22⋊C4—862no—
1468C22⋊C4—862no—
1469C22⋊C4—862no—
1470C22⋊C4—862no—
1471C22⋊C4—862no—
1472C22⋊C4—862no—
1473C22⋊C4—862no—
1474C22⋊C4—862no—
1475C22⋊C4—862no—
1476C22⋊C4—862no—
1477C22⋊C4—862no—
1478C22⋊C4—862no—
1479C22⋊C4—862no—
1480C22⋊C4—862no—
1481C22⋊C4—862no—
1482C22⋊C4—1721no—
1483C22⋊C4—1721no—
1484C22⋊C4—1721no—
1485C22⋊C4—1721no—
1486C22⋊C4—1721no—
1487C22⋊C4—1721no—
1488C22⋊C4—1721no—
1489C22⋊C4—1721no—
1490C22⋊C4—1721no—
1491C22⋊C4—1721no—
1492C22⋊C4—1721no—
1493C22⋊C4—1721no—
1494C22⋊C4—1721no—
1495C22⋊C4—1721no—
1496C22⋊C4—1721no—
1497C22⋊C4—1721no—
1498C22⋊C4—1721no—
1499C22⋊C4—1721no—
1500C42—22no—
1501C42—862no—
1502C42—862no—
1503C42—862no—
1504C42—862no—
1505C42—862no—
1506C42—862no—
1507C42—862no—
1508C42—862no—
1509C42—862no—
1510C23—21no—
1511C23—21no—
1512C23—21no—
1513C23—21no—
1514C23—21no—
1515C23—21no—
1516C23—21no—
1517C23—21no—
1518C23—21no—
1519C23—21no—
1520C23—21no—
1521C23—21no—
1522C23—21no—
1523C23—21no—
1524C23—21no—
1525C23—21no—
1526C23—21no—
1527C23—21no—
1528C23—21no—
1529C23—432no—
1530C23—432no—
1531C23—432no—
1532C23—432no—
1533C23—432no—
1534C23—868no—
1535C23—868no—
1536C23—861no—
1537C23—861no—
1538C23—861no—
1539C23—861no—
1540C23—861no—
1541C23—861no—
1542C23—861no—
1543C23—861no—
1544C23—861no—
1545C23—861no—
1546C23—861no—
1547C23—861no—
1548C23—861no—
1549C23—861no—
1550C23—861no—
1551C23—861no—
1552C23—861no—
1553C23—861no—
1554C23—861no—
1555C23—861no—
1556C23—861no—
1557C23—861no—
1558C23—861no—
1559C23—1724no—
1560C23—1724no—
1561C23—1724no—
1562C23—1724no—
1563C23—1724no—
1564C23—1724no—
1565C23—1724no—
1566C23—1724no—
1567C23—1724no—
1568C23—1724no—
1569C23—1724no—
1570C23—1724no—
1571C23C2×D4×D4312yes—
1572C23#41×D4312yes—
1573C23C24×D4311yescharacteristic
1574Q8—1724no—
1575D4—28no—
1576D4—44no—
1577D4—44no—
1578D4—868no—
1579D4—868no—
1580D4—868no—
1581D4—1724no—
1582D4—1724no—
1583D4—1724no—
1584D4—1724no—
1585D4—1724no—
1586D4—1724no—
1587D4—1724no—
1588D4—1724no—
1589D4—1724no—
1590C2×C4—21no—
1591C2×C4—21no—
1592C2×C4—21no—
1593C2×C4—21no—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—21no—
1605C2×C4—21no—
1606C2×C4—21no—
1607C2×C4—21no—
1608C2×C4—21no—
1609C2×C4—21no—
1610C2×C4—21no—
1611C2×C4—21no—
1612C2×C4—21no—
1613C2×C4—21no—
1614C2×C4—21no—
1615C2×C4—21no—
1616C2×C4—21no—
1617C2×C4—21no—
1618C2×C4—21no—
1619C2×C4—21no—
1620C2×C4—21no—
1621C2×C4—21no—
1622C2×C4—21no—
1623C2×C4—44no—
1624C2×C4—44no—
1625C2×C4—432no—
1626C2×C4—432no—
1627C2×C4—432no—
1628C2×C4—432no—
1629C2×C4—432no—
1630C2×C4—868no—
1631C2×C4—868no—
1632C2×C4—868no—
1633C2×C4—868no—
1634C2×C4—861no—
1635C2×C4—861no—
1636C2×C4—861no—
1637C2×C4—861no—
1638C2×C4—861no—
1639C2×C4—861no—
1640C2×C4—861no—
1641C2×C4—861no—
1642C2×C4—861no—
1643C2×C4—861no—
1644C2×C4—861no—
1645C2×C4—861no—
1646C2×C4—861no—
1647C2×C4—861no—
1648C2×C4—861no—
1649C2×C4—861no—
1650C2×C4—861no—
1651C2×C4—861no—
1652C2×C4—861no—
1653C2×C4—861no—
1654C2×C4—861no—
1655C2×C4—861no—
1656C2×C4—861no—
1657C2×C4—861no—
1658C2×C4—861no—
1659C2×C4—861no—
1660C2×C4—861no—
1661C2×C4—861no—
1662C2×C4—861no—
1663C2×C4—861no—
1664C2×C4—861no—
1665C2×C4—1724no—
1666C2×C4—1724no—
1667C2×C4—1724no—
1668C2×C4—1724no—
1669C2×C4—1724no—
1670C2×C4—1724no—
1671C2×C4—1724no—
1672C2×C4—1724no—
1673C2×C4—1724no—
1674C2×C4C2×D4×D4312yes—
1675C2×C4C2×D4×D4312yes—
1676C2×C4#41×D4312yes—
1677C22—22no—
1678C22—22no—
1679C22—22no—
1680C22—22no—
1681C22—22no—
1682C22—22no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—41no—
1689C22—41no—
1690C22—41no—
1691C22—41no—
1692C22—41no—
1693C22—41no—
1694C22—41no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—434no—
1699C22—862no—
1700C22—862no—
1701C22—862no—
1702C22—862no—
1703C22—862no—
1704C22—862no—
1705C22—862no—
1706C22—862no—
1707C22—862no—
1708C22—862no—
1709C22—862no—
1710C22—862no—
1711C22—17216no—
1712C22—17216no—
1713C22—1721no—
1714C22—1721no—
1715C22—1721no—
1716C22—1721no—
1717C22—1721no—
1718C22—1721no—
1719C22—1721no—
1720C22—1721no—
1721C22—1721no—
1722C22—1721no—
1723C22—1721no—
1724C22—1721no—
1725C22—1721no—
1726C22—1721no—
1727C22—1721no—
1728C22C22×D4×D4311yescharacteristic
1729C22C2×#41×D4311yescharacteristic
1730C22C2×#41×D4311yescharacteristic
1731C22H(5,𝔽2)×D4311yescharacteristic
1732C22H(5,𝔽2)×D4311yescharacteristic
1733C22#1458373411yescharacteristic
1734C22#1458373611yescharacteristic
1735C4—22no—
1736C4—22no—
1737C4—22no—
1738C4—41no—
1739C4—41no—
1740C4—41no—
1741C4—41no—
1742C4—41no—
1743C4—41no—
1744C4—41no—
1745C4—41no—
1746C4—41no—
1747C4—434no—
1748C4—862no—
1749C4—862no—
1750C4—1721no—
1751C4—1721no—
1752C4—1721no—
1753C4—1721no—
1754C4—1721no—
1755C4—1721no—
1756C4—1721no—
1757C4—1721no—
1758C4—1721no—
1759C2—42no—
1760C2—42no—
1761C2—81no—
1762C2—864no—
1763C2—3441no—
1764C2—1722no—
1765C2—1722no—
1766C2#525×D4311yescharacteristic
1767C2#534×D4311yescharacteristic
1768C2#1914792311yescharacteristic
1769C2#1914800311yescharacteristic
1770C2#1914800611yescharacteristic
1771C2#1914801011yescharacteristic
1772C2#1914801511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D43
commutator, socle, cosocleC23×C43C25
FittingC43×#2630C2
hypercenter#2630D43
hypocenterC43#34562
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C23 ◁ #2630

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C2×#14583407C2semidirect
2. C2×C4×D4×D43C2semidirect
3. #19140519C2semidirect
4. #19140516C2semidirect
5. #19140486C2semidirect
6. #19140483C2semidirect
7. #19140436C2semidirect
8. #19140434C2semidirect
9. #19140432C2semidirect
10. #19140413C2semidirect
11. #19140405C2semidirect
12. #19140369C2semidirect
13. #19140367C2semidirect
14. #19140342C2semidirect
15. #19140334C2semidirect
16. #19140308C2semidirect
17. #19140306C2semidirect
18. #19137853C2semidirect
19. #19137851C2semidirect
20. #19137840C2semidirect
21. #19137840C2semidirect
22. #19137836C2semidirect
23. #19137834C2semidirect
24. #19137809C2semidirect
25. #19137807C2semidirect
26. #19137122C2semidirect
27. #19137116C2semidirect
28. #19137100C2semidirect
29. #19137096C2semidirect
30. #19136977C2semidirect
31. C43×#2630C2semidirect
32. C22×#10621900C22semidirect
38. C2×#13063308C22semidirect
41. C2×#13063303C22semidirect
43. C2×#13063298C22semidirect
50. C2×D4×Dic43C22semidirect
53. C2×#13063287C22semidirect
54. C2×#13063287C22semidirect
60. C2×(C22⋊D43)⋊C4C22semidirect
61. C2×(C22⋊D43)⋊C4C22semidirect
62. C2×(C22⋊D43)⋊C4C22semidirect
64. C2×#13063283C22semidirect
65. C2×#13063283C22semidirect
66. C2×#13063281C22semidirect
71. #14582841C22semidirect
72. #14582840C22semidirect
73. #14582835C22semidirect
74. #14582834C22semidirect
75. #14582833C22semidirect
76. #14582832C22semidirect
77. #14582832C22semidirect
78. #14582832C22semidirect
79. #14582829C22semidirect
80. #14582828C22semidirect
81. #14582828C22semidirect
82. #14582828C22semidirect
83. #14582827C22semidirect
84. #14582827C22semidirect
85. #14582827C22semidirect
86. #14582826C22semidirect
87. #14582825C22semidirect
88. #14582824C22semidirect
89. #14582822C22semidirect
90. #14582822C22semidirect
91. #14582821C22semidirect
92. #14582821C22semidirect
93. #14582821C22semidirect
94. #14582821C22semidirect
95. #14582820C22semidirect
96. #14582819C22semidirect
98. #14582817C22semidirect
100. #14582816C22semidirect
101. #14582816C22semidirect
104. #14582815C22semidirect
105. #14582815C22semidirect
106. #14582815C22semidirect
107. #14582815C22semidirect
108. #14582815C22semidirect
111. #14582814C22semidirect
112. #14582814C22semidirect
113. #14582814C22semidirect
115. #14582813C22semidirect
116. #14582812C22semidirect
117. #14582811C22semidirect
122. #14582808C22semidirect
126. #14582807C22semidirect
127. #14582791C22semidirect
128. #14582790C22semidirect
129. #14582787C22semidirect
130. #14582784C22semidirect
131. #14582783C22semidirect
132. #14582780C22semidirect
133. #14582778C22semidirect
136. #14582777C22semidirect
139. #14582775C22semidirect
142. #14582773C22semidirect
143. #14582772C22semidirect
146. #14582770C22semidirect
149. #14582761C22semidirect
150. #14582761C22semidirect
151. #14582759C22semidirect
158. C4⋊C4×Dic43C22semidirect
159. C4⋊C4×Dic43C22semidirect
160. #14582750C22semidirect
161. #14582750C22semidirect
162. C22⋊C4×Dic43C22semidirect
163. C22⋊C4×Dic43C22semidirect
164. C22⋊C4×Dic43C22semidirect
165. C22⋊C4×Dic43C22semidirect
166. C22⋊C4×Dic43C22semidirect
167. C22⋊C4×Dic43C22semidirect
170. #14582746C22semidirect
171. #14582746C22semidirect
172. #14582746C22semidirect
173. #14582746C22semidirect
174. C2×#123×C43C22semidirect
176. C43×#398C22semidirect
177. C43×#397C22semidirect
178. C43×#396C22semidirect
179. C43×#396C22semidirect
181. C43×#394C22semidirect
182. C43×#394C22semidirect
184. C43×#388C22semidirect
185. C43×#387C22semidirect
186. C43×#386C22semidirect
187. C43×#385C22semidirect
188. C43×#380C22semidirect
218. C22×C4×D43D4semidirect
407. C23×D43#41semidirect
529. C2×C4×D43#41semidirect
882. #2630D43semidirect
926. C2×#123C2×D43semidirect
968. #398C2×D43semidirect
978. #397C2×D43semidirect
985. #396C2×D43semidirect
986. #396C2×D43semidirect
1009. #394C2×D43semidirect
1010. #394C2×D43semidirect
1026. #388C2×D43semidirect
1030. #387C2×D43semidirect
1038. #386C2×D43semidirect
1046. #385C2×D43semidirect
1054. #380C2×D43semidirect
1075. C43#34562semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C2×#145834072
C2×C4×D4×D432
#191405192
#191405162
#191404862
#191404832
#191404362
#191404342
#191404322
#191404132
#191404052
#191403692
#191403672
#191403422
#191403342
#191403082
#191403062
#191378532
#191378512
#191378402
#191378362
#191378342
#191378092
#191378072
#191371222
#191371162
#191371002
#191370962
#191369772
C43×#26302
#3456243